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Finding the Fourth Proportional to 587,640.32, 810,895.56 and 345,884.48

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Solution

The fourth proportional to 587,640.32, 810,895.56 and 345,884.48 is: 477,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,640.32 : 810,895.56 = 345,884.48 : x
  2. Step 2: Convert to fraction form
    587,640.32/810,895.56 = 345,884.48/x
  3. Step 3: Cross multiply
    587,640.32x = 810,895.56 × 345,884.48
  4. Step 4: Simplify right side
    587,640.32x = 280,476,189,104.91
  5. Step 5: Solve for x
    x = 280,476,189,104.91/587,640.32
  6. Step 6: Final answer
    x = 477,292.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.